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152520433 = 1373173929
BaseRepresentation
bin10010001011101…
…00011011110001
3101121222211200221
421011310123301
5303021123213
623045013041
73531254662
oct1105643361
9347884627
10152520433
117910394a
12430b4181
13257a21a0
1416383369
15d5cb38d
hex91746f1

152520433 has 16 divisors (see below), whose sum is σ = 167645520. Its totient is φ = 137908224.

The previous prime is 152520427. The next prime is 152520437. The reversal of 152520433 is 334025251.

152520433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8928144 + 143592289 = 2988^2 + 11983^2 .

It is a cyclic number.

It is not a de Polignac number, because 152520433 - 29 = 152519921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152520398 and 152520407.

It is not an unprimeable number, because it can be changed into a prime (152520437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163713 + ... + 164641.

It is an arithmetic number, because the mean of its divisors is an integer number (10477845).

Almost surely, 2152520433 is an apocalyptic number.

152520433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152520433 is a deficient number, since it is larger than the sum of its proper divisors (15125087).

152520433 is a wasteful number, since it uses less digits than its factorization.

152520433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188.

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 152520433 is about 12349.9163155059. The cubic root of 152520433 is about 534.2887255039.

Adding to 152520433 its reverse (334025251), we get a palindrome (486545684).

The spelling of 152520433 in words is "one hundred fifty-two million, five hundred twenty thousand, four hundred thirty-three".

Divisors: 1 13 73 173 929 949 2249 12077 12629 67817 160717 164177 881621 2089321 11732341 152520433